The inverse function, represented by
\(f^{-1}\)c
A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
pls
I need the answer urgently
please help me
The trigonometric ratios gives the values required.
What are the trigonometric ratios?The three main trigonometric ratios that we need are the sine the cosine and the tangent.
1) The hypotenuse is;
c^2 = 5^2 + 12^2
c = √5^2 + 12^2
c = 13
Then;
sin x + cos x
= 5/13 + 12/13
= 17/13
2) The adjacent is;
13^2 = x^2 + 5^2
x^2 = 13^2 - 5^2
x = √13^2 - 5^2
x = √ 169 - 25
x = 12
Cos p = 12/13
3) The adjacent is;
13^2 = x^2 + 12^2
x^2 = 169 - 144
x = 5
2sinx + 1/2Cos x
2(12/13) + 1/2 (5/13)
144/13 + 5/26
=293/26
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warmup problem!!!
rolling a 6 and
the coin landing
on tails
Answer:
\(\frac{1}{12}\)
Step-by-step explanation:
Rolling a 6 is \(\frac{1}{6}\)
Flipping tails is \(\frac{1}{2}\)
\(\frac{1}{6}\)×\(\frac{1}{2} =\frac{1}{12}\)
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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what is 48 *3/8 explain
Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
The area of Mrs. Crocker's rectangular
pantry floor can be expressed as x2 + 11x + 24
units2. List a possible expression for the length
and the width of her pantry floor.
Possible expressions for the length and the width of her pantry floor are x + 3 and x + 8
How to determine the expressionsThe function given for the area of the rectangular pantry floor is expressed as;
Area = x2 + 11x + 24
Now, let's solve the quadratic equation using the factorization method
Multiply the coefficient of x squared by the constant + 24
Then, find the pair factors of product that sums up to 11 and substitute the values
We get;
x² + 8x + 3x + 24
Factor in pairs, we have;
(x² + 8x) + (3x + 24)
Now, factor the common terms, we have;
x( + 8) + 3(x + 8)
Then, the expression for x are;
Length = x + 3
Width = x + 8
Hence, the expressions are x + 3 and x + 8
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Look at the diagram below of the pythagorean theorem. What is the area of square A?
(Will mark brainliest, please just help me)
Answer:
It could be 14M.
Step-by-step explanation:
A to B is similar length, so that is why it could be 14M.
Emily collected a sample of geodes and measured their masses. Her sample is Normally distributed with a mean of 0.8 kilograms and standard deviation of 0.04 kilograms.
Complete the statements based on the Normal distribution.
About
__% of Emily’s geodes have a mass between 0.76 and 0.88 kilograms.
Answer:
81.5%
Step-by-step explanation:
Answer:
81.5% is right
ED2021
Help please
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
10 to 18
12 to 23
15 to 35
32 to 64
Which table below correctly shows these ratios in a three-column table?
Brown 18 23 35 64
Green 10 12 15 32
Total 28 35 50 96
Brown 28 12 50 32
Green 18 23 35 64
Total 10 35 15 96
Brown 10 12 15 32
Green 18 35 35 96
Total 28 23 50 64
Brown 10 12 15 32
Green 18 23 35 64
Total 28 35 50 96
The correct table that shows the ratios in kindergarten classrooms a three-column table is the last one: Brown 10 12 15 32 Green 18 23 35 64 Total 28 35 50 96
How is this determined?The ratios of brown to green crayons in the four kindergarten classrooms are correctly represented in this table, making it accurate. The initial ratio is 10:18, meaning there are 18 green crayons for every 10 brown crayons. The second ratio is 12:23, meaning there are 23 green crayons for every 12 brown crayons. The third ratio, 15:35, states that there are 35 green crayons for every 15 brown crayons. The fourth ratio is 32:64, meaning there are 64 green crayons for every 32 brown crayons.
The chart also displays the correct total quantity of crayons—the sum of the quantities of brown and green crayons—in each classroom. For instance, the total number of crayons in the first classroom is 10 + 18 = 28, the total number of crayons in the second classroom is 12 + 23 = 35, the total number of crayons in the third classroom is 15 + 35 = 50, and the total number of crayons in the fourth classroom is 32 + 64 = 96.
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Answer:it D
Step-by-step explanation:
BC I did the math
how many times does 33 go into 112?
Answer:
3.3939
rounded off = 3
33 goes in 112 3 times
Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320
finding angle measures between intersecting lines.
Answer:
56
Step-by-step explanation:
to find x u add 60 and 64 which is 124
the total is 180 so u would subtract 180 by 124
hope this helps
The graph of g is a translation 1 unit down of the graph of f(x) = 3|x| – 4. The rate of change of g over the interval 2 ≤ x ≤ 5 is
The solution is: the rate of change is 3.
Here, we have,
Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):
g(x) = f(x) - 1
f(x) = 3|x| – 4
so, we get,
g(x) = 3|x| – 4 - 1
= 3|x| – 5
Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:
rate = g(5) - g(2)/ 5-2
so, we get,
rate = 9/3 = 3
Therefore the rate of change is 3.
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Consider the system of equations and the partial solution below.
6x+3y=9
5x+4y=10
Multiply the first equation by -4.
Multiply the second equation by 3.
Add the resulting system of equations.
Which terms will cancel when you add the resulting system of equations?
-36 and 36
-24x and 24x
O-15x and 15x
-12y and 12y
-15x and 15x is the answer
Answer:
-12y and 12y
Step-by-step explanation:
lets do the multiplication to each equation
\(\left \{ {{(6x+3y)(-4)=9(-4)} \atop {(5x+4y)3=10(3)}} \right.\)
this is
\(\left \{ {{-24x-12y=-36} \atop {15x+12y=30}} \right.\)
if we add the systems notice the values that do cancel are -12y and 12y
and the results of the adition is
\(-9x=-6\)
from this
\(x=\frac{-6}{-9} =\frac{2}{3}\)
and you can find y from any of the first equation.
\(y=3-2x=3-\frac{4}{3} =\frac{5}3}\)
A straight line is divided into two angles. If the first angle is 88 degrees, what is the measure of the second angle?
PLEASE HELP EEP-
Answer:
i think its going to be 180* degreas! sorry if im wrong
Step-by-step explanation:
Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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5h-6-8+7h what’s the answer ?
The perimeter of a rectangle is 332cm and the width is 76cm. Find the rectangle’s length
What is the volume of a cylinder with base radius 3 and height 8 in square units?
Answer:
226.19 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
π = pie (3.142)
r = radius
h = height
Volume = π × 3² × 8
= 226.19 cm³
please help me asap
Answer:
1.C
2.A
Step-by-step explanation:
Closed circle is =
Step-by-step explanation:
for number 1 the answer is the third line
for number 2 i believe the answer is the second line
hope it help
answer the question below
Answer:
B
Step-by-step explanation:
This is some strange math lol
Y =250x + 500
Solve for y
Answer:
y=500
Step-by-step explanation:
y= 250 * 0 + 500
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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What is the equation of a line that passes through the point (-3,7) and is perpendicular to the line 2y+6x=12
What is the equation of a line that passes through the point (-3,7) and is perpendicular to the line 2y+6x=12
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
The given line is
2y+6x=12
step 1
Find the slope
isolate the variable y
2y=-6x+12
y=-3x+6
the slope is m=-3
therefore
the slope of teh perpendicular line is
m=1/3
step 2
Find the equation of the line in point slope form
y-y1=m(x-x1)
we have
m=1/3
(x1,y1)=(-3,7)
substitute
y-7=(1/3)(x+3)
convert to slope intercept form
isolate the variable y
y-7=(1/3)x+1
y=(1/3)x+8Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
PLS HELP!! SHOW STEPS. (50PTS.)
Answer:
See Below
Step-by-step explanation:
\( \cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) \times \frac{1}{2} - 0 \times \frac{ \sqrt{3} }{2} \\ = - \frac{1}{2} - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - \frac{1}{2} } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) \times \frac{ \sqrt{3} }{2} - 0 \times \frac{1 }{2} \\ = - \frac{ \sqrt{3} }{2} - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - \frac{ \sqrt{3} }{2} } \)
please help me pleawse
Answer:
18/40=0.45
0.45×100=45%..........
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 12 drivers are told to press a button as soon as they see a light flash in front of them and the reaction time was measured in milliseconds. Each driver was shown each type of light. A 99% confidence interval for the average difference between the two reaction times (traditional - LED) was (-30.83, 271.17). Which of the following is the appropriate conclusion?
Question 5 options:
1)
We are 99% confident that the average difference in reaction times for all drivers is negative, with the higher reaction time being with LED lighting.
2)
We are 99% confident that the average difference in reaction times for all drivers is negative, with the higher reaction time being with traditional lighting.
3)
We are 99% confident that the average difference in reaction times for all drivers is positive, with the higher reaction time being with LED lighting.
4)
We are 99% confident that the average difference in reaction times for all drivers is positive, with the higher reaction time being with traditional lighting.
5)
There is not a significant difference in the average reaction times for the two different types of lighting.
Though the difference is not numerically significant, it is important to unitary method keep in mind that there might still be a real difference that this group does not account for.
What is unitary method ?The unit method is a strategy for handling issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply stated, the unit method is used to extract a unique unit number from a multiple that is given. For example, 40 pens would cost 400 rupees, which is equal to the expense of one pen. This procedure might follow a conventional procedure. a distinct nation. anything with a distinct character. Its adjoint and inverse are identical in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.
The disparity in reaction latencies between conventional incandescent lights and LED lights has a 99% confidence range of (-30.83, 271.17) milliseconds. We cannot definitively determine whether the average difference is positive or negative because the interval includes both positive and negative numbers.
The best conclusion is option 5, which states that there isn't much of a difference between the two kinds of lighting's typical response rates. Though the difference is not numerically significant, it is important to keep in mind that there might still be a real difference that this group does not account for.
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Which of the following are necessary when proving that the opposite angles
of a parallelogram are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are perpendicular.
D. Opposite sides are congruent.
SUBMIT
Answer:
B. CPCTC
D. opposite sides are congruent
Step-by-step explanation:
You want to know the necessary claims for proving opposite angles are congruent in a parallelogram.
ProofGiven parallelogram ABCD and diagonal AC, you can prove opposite angles congruent in this way:
AB≅CD and BC≅DA . . . . . opposite sides are congruent
AC≅CA . . . . . . . . . . . . . . reflexive property of congruence
∆ABC≅∆CDA . . . . . . . . . . . SSS congruence
∠B ≅ ∠D . . . . . . . . . . . . Corresponding parts of congruent triangles
When doing the proof, the necessary claims are ...
B. Corresponding parts of congruent triangles are congruent
D. Opposite sides are congruent.
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